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Atlas › Integer Profiles › Node 98,570,828

98,570,828

22 × 17 × 59 × 79 × 311
Deficient Even Composite

98,570,828 factors as 2^2 × 17 × 59 × 79 × 311. Its 48 positive divisors give a proper-divisor sum of 90,126,772, so this integer is deficient. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 2^2 × 17 × 59 × 79 × 311
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 188,697,600
Proper Divisor Sum 90,126,772
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #98570809 ← → #98570839

Radix Representation

Decimal 98570828
Binary 101111000000001001001001100 (27 bits)
Octal 0o570011114
Hexadecimal 0x5E0124C

Divisor Catalog (48)

1 2 4 17 34 59 68 79 118 158 236 311 316 622 1,003 1,244 1,343 2,006 2,686 4,012 4,661 5,287 5,372 9,322 10,574 18,349 18,644 21,148 24,569 36,698 49,138 73,396 79,237 98,276 158,474 311,933 316,948 417,673 623,866 835,346 1,247,732 1,449,571 1,670,692 2,899,142 5,798,284 24,642,707 49,285,414 98,570,828

Collatz Trajectory (112 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

98,570,828 49,285,414 24,642,707 73,928,122 36,964,061 110,892,184 55,446,092 27,723,046 13,861,523 41,584,570 20,792,285 62,376,856 31,188,428 15,594,214 7,797,107 23,391,322 11,695,661 35,086,984 17,543,492 8,771,746 4,385,873 13,157,620 6,578,810 3,289,405 9,868,216 4,934,108 2,467,054 1,233,527 3,700,582 1,850,291 5,550,874 2,775,437 8,326,312 4,163,156 2,081,578 1,040,789 3,122,368 1,561,184 780,592 390,296 195,148 97,574 48,787 146,362 73,181 219,544 109,772 54,886 27,443 82,330 41,165 123,496 61,748 30,874 15,437 46,312 23,156 11,578 5,789 17,368

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